Approximate Identities

Speaker: 

<p>SudarshanR. Gurjar<br /> School of Mathematics<br /> Tata Institute of Fundamental Research<br /> Homi Bhabha Road<br /> Mumbai 400005<br /> &nbsp;</p>

Time: 

Tuesday, 24 January 2012, 17:00 to 18:00

Venue: 

  • A-212 (STCS Seminar Room)

I will explain the role played by infinitely differentiable functions with compact support on the real line. Suitably scaled such functions are very close (with respect to a suitable norm) to being identity elements for the binary operation of convolution of functions. If time permits, as an application I will sketch the proof of the famous Weirstrass approximation theorem in real analysis.

Only knowledge of elementary calculus will be assumed.